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Andru [333]
3 years ago
15

1. A machine shop has eight screw machines but only three spaces available in the production area for the machine. In how many d

ifferent ways can the eight machines be arranged in the three spaces available?
2. A quality control randomly selects two of five parts to test for defects. In a group of five parts, how many combinations of two parts can be selected?
Mathematics
1 answer:
Sophie [7]3 years ago
8 0

Answer:

a= 336 different ways

b= 10 possible combinations

Step-by-step explanation:

As it is a definite machine and it must have ordered combinations therefore it is a permutation question . So finding 3 out of eight

8 P 3= 336  different ways the eight machines be arranged in the three spaces available.

Since the parts are randomly selected and there is no distinct pattern therefore combinations is used to solve this.

5C2 = 10 possible combinations of two parts can be selected.

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2 years ago
Two planes, which are 2235 miles apart, fly toward each other. Their speeds differ by 95 mph. If they pass each other in 3 hours
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Answer:

325 mph and 420 mph

Step-by-step explanation:

If the speed of the slower plane is x, then the speed of the faster plane is x + 95.

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The total distance is 2235 miles.

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L(t) models the length of each day (in minutes) in Manila, Philippines tt days after the spring equinox. Here, t is entered in r
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Answer:

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L(t) = 52\sin(\frac{2 \pi t}{365})+728

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750= 52\sin(\frac{2 \pi t}{365})+728

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